Question

Math

Posted 6 months ago

```
Let $X$ and $Y$ be the following sets:
$\begin{array}{l}
X=\{4,5,7,9\} \\
Y=\{\}
\end{array}$
Which of the following is the set $X \cap Y$ ?
Choose 1 answer:
(A) $\{7,9\}$
(B) $\{4,5\}$
(C) $\{4,5,7,9\}$
(D) \{\}
```

Sign in to unlock the answer

Answer from Sia

Posted 6 months ago

Solution by Steps

step 1

To find the intersection of sets X and Y, we look for common elements between the two sets

step 2

Set X is given as $\{4, 5, 7, 9\}$ and set Y is an empty set $\{\}$

step 3

Since set Y is empty, it has no elements in common with set X

step 4

Therefore, the intersection of set X and set Y is also an empty set, denoted as $\{\}$

[1] Answer

(D) $\{\}$

Key Concept

Intersection of Sets

Explanation

The intersection of any set with an empty set is always an empty set, because there are no elements to be shared.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Unlock Smarter Learning with AskSia Super!

Join Super, our all-in-one AI solution that can greatly improve your learning efficiency.

30% higher accuracy than GPT-4o

Entire learning journey support

The most student-friendly features

Study Other Question